A finite group acting on the moduli space of K3 surfaces

Details A finite group acting on the moduli space of K3 surfaces A finite group acting on the moduli space of K3 surfaces

2005-05-25

arxiv.org/abs/math/0505535v2

Mathematics

Algebraic Geometry

10 pages, major revisions, final version to appear in Trans. Amer. Math. Soc

Scientific paper

We consider the natural action of a finite group on the moduli space of
polarized K3 surfaces which induces a duality defined by Mukai for surfaces of
this type. We show that the group permutes polarized Fourier-Mukai partners of
polarized K3 surfaces and we study the divisors in the fixed loci of the
elements of this finite group.

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